When our ship docked in Livorno, Italy, on a recent Mediterranean cruise, my traveling companion and I tested out a walking tour of Florence. Of course, our guide took us to the city’s most celebrated art museum — the Uffizi Gallery — or, rather, took us by the museum. She stopped outside to say a few words about it, then quickly moved on. The ship’s limited time in Livorno made it impossible to do the walking tour and go inside the Uffizi.

Cruising is wildly popular, and I love it too, but most itineraries include only a few hours in each port (ships typically arrive in the morning and depart before nightfall the same day). Such a schedule benefits those interested in sampling a range of destinations, but travelers interested in deeper explorations have had to eschew cruising.

Fortunately, that’s no longer the case. Regent Seven Seas Cruises has created a program that should appeal to precisely those sorts of travelers. The company’s “Immersive Overnights” collection offers 15 voyages between now and fall 2027 on which every port of call includes at least one overnight (sometimes two). The seven- to 14-night sailings in the Mediterranean, Northern Europe and Asia typically arrive in the morning and depart the next day in the late afternoon or early evening. This schedule gives passengers ample time in rich destinations like Istanbul, Rome, Stockholm and Tokyo, among others.